Answer:

Step-by-step explanation:
The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:


The numerical value of the slope is:

The component of the y-axis is:

Now, the tangent line has the following mathematical model:

The value of the intercept is found by isolating it within the equation and replacing all known variables:


Thus, the tangent line is:

The vertical distance between a point of the tangent line and the origin is given by the intercept.

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:




The area of the triangle is computed by this formula:



Emily gave Jake 20% of the buttons. 20% = 15 buttons, and 15 x 5 = 75
A point has D) zero dimensions
Answer:
I dont really know the answer.. but ill try; if its wrong I am so sorry;
Step-by-step explanation:
First you must get the area of a circle, which is; A= pi r squared
and all you have to do is fill it in like this;
A= 3.14 x 2.0
^
A= 6.28
Avg. speed Joanna runs: 7.5km/h
how much she runs everyday: 15km
15km/7.5= 2 hours of running time everyday
She leaves at 8:30, comes back at ?
8:30+ 2:00= 10:30
Joanna arrives back at 10:30a.m.